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4157342240 = 255173150193
BaseRepresentation
bin1111011111001100…
…0000001000100000
3101201201202212102112
43313303000020200
532003234422430
61524310134452
7205010553212
oct36763001040
911651685375
104157342240
111843790837
12980351428
135133c152c
142b61d05b2
15194ea5195
hexf7cc0220

4157342240 has 48 divisors (see below), whose sum is σ = 9878559768. Its totient is φ = 1653313536.

The previous prime is 4157342227. The next prime is 4157342249. The reversal of 4157342240 is 422437514.

It can be written as a sum of positive squares in 4 ways, for example, as 3534540304 + 622801936 = 59452^2 + 24956^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4157342197 and 4157342206.

It is not an unprimeable number, because it can be changed into a prime (4157342249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47417 + ... + 102776.

Almost surely, 24157342240 is an apocalyptic number.

4157342240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4157342240 is an abundant number, since it is smaller than the sum of its proper divisors (5721217528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4157342240 is a wasteful number, since it uses less digits than its factorization.

4157342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150381 (or 150373 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 4157342240 is about 64477.4552847738. The cubic root of 4157342240 is about 1607.9477264922.

Adding to 4157342240 its reverse (422437514), we get a palindrome (4579779754).

The spelling of 4157342240 in words is "four billion, one hundred fifty-seven million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 2768 3460 5536 6920 13840 27680 150193 300386 600772 750965 1201544 1501930 2403088 3003860 4806176 6007720 12015440 24030880 25983389 51966778 103933556 129916945 207867112 259833890 415734224 519667780 831468448 1039335560 2078671120 4157342240